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Monte Carlo methods are widely used importance sampling techniques for studying complex physical systems. Integrating these methods with deep learning has significantly improved efficiency and accuracy in high-dimensional problems and…

Disordered Systems and Neural Networks · Physics 2024-12-24 Yixiong Ren , Jianhui Zhou

Previous path guiding techniques typically rely on spatial subdivision structures to approximate directional target distributions, which may cause failure to capture spatio-directional correlations and introduce parallax issue. In this…

Graphics · Computer Science 2025-04-14 Honghao Dong , Guoping Wang , Sheng Li

Walk on stars (WoSt) has shown its power in being applied to Monte Carlo methods for solving partial differential equations, but the sampling techniques in WoSt are not satisfactory, leading to high variance. We propose a guiding-based…

Graphics · Computer Science 2025-05-02 Tianyu Huang , Jingwang Ling , Shuang Zhao , Feng Xu

A novel hybrid Monte Carlo transport scheme is demonstrated in a scene with solar illumination, scattering and absorbing 2D atmosphere, a textured reflecting mountain, and a small detector located in the sky (mounted on a satellite or a…

Mathematical Physics · Physics 2015-05-28 Guillaume Bal , Anthony Davis , Ian Langmore

Simulating radiative transfer in the atmosphere with Monte Carlo ray tracing provides realistic surface irradiance in cloud-resolving models. However, Monte Carlo methods are computationally expensive because large sampling budgets are…

Atmospheric and Oceanic Physics · Physics 2025-06-16 Ment Reeze , Menno A. Veerman , Chiel C. van Heerwaarden

Monte Carlo path tracer renders noisy image sequences at low sampling counts. Although great progress has been made on denoising such sequences, existing methods still suffer from spatial and temporary artifacts. In this paper, we tackle…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Tiange Xiang , Hongliang Yuan , Haozhi Huang , Yujin Shi

We examine using Monte Carlo simulations, photon transport in optically `thin' slabs whose thickness L is only a few times the transport mean free path $l^{*}$, with particles of different scattering anisotropies. The confined geometry…

Disordered Systems and Neural Networks · Physics 2015-06-25 Venkatesh Gopal , S. Anantha Ramakrishna , A. K. Sood , N. Kumar

The classic Monte Carlo path tracing can achieve high quality rendering at the cost of heavy computation. Recent works make use of deep neural networks to accelerate this process, by improving either low-resolution or fewer-sample rendering…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Xinyue Wei , Haozhi Huang , Yujin Shi , Hongliang Yuan , Li Shen , Jue Wang

We present an extensive Monte Carlo study on light transport in optically thin slabs, addressing both axial and transverse propagation. We completely characterize the so-called ballistic-to-diffusive transition, notably in terms of the…

In this paper, we present a novel path planning algorithm to achieve fast path planning in complex environments. Most existing path planning algorithms are difficult to quickly find a feasible path in complex environments or even fail.…

Robotics · Computer Science 2021-10-20 Jianbang Liu , Baopu Li , Tingguang Li , Wenzheng Chi , Jiankun Wang , Max Q. -H. Meng

This paper presents an algorithm to obtain an event-based video from noisy frames given by physics-based Monte Carlo path tracing over a synthetic 3D scene. Given the nature of dynamic vision sensor (DVS), rendering event-based video can be…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Yuta Tsuji , Tatsuya Yatagawa , Hiroyuki Kubo , Shigeo Morishima

Depth acquisition, based on active illumination, is essential for autonomous and robotic navigation. LiDARs (Light Detection And Ranging) with mechanical, fixed, sampling templates are commonly used in today's autonomous vehicles. An…

Computer Vision and Pattern Recognition · Computer Science 2019-08-06 Adam Wolff , Shachar Praisler , Ilya Tcenov , Guy Gilboa

Real-time Monte Carlo denoising aims at removing severe noise under low samples per pixel (spp) in a strict time budget. Recently, kernel-prediction methods use a neural network to predict each pixel's filtering kernel and have shown a…

Graphics · Computer Science 2022-02-28 Hangming Fan , Rui Wang , Yuchi Huo , Hujun Bao

Importance sampling is one of the most widely used variance reduction strategies in Monte Carlo rendering. In this paper, we propose a novel importance sampling technique that uses a neural network to learn how to sample from a desired…

Machine Learning · Computer Science 2024-03-25 Quan Zheng , Matthias Zwicker

Importance sampling of trajectories has proved a uniquely successful strategy for exploring rare dynamical behaviors of complex systems in an unbiased way. Carrying out this sampling, however, requires an ability to propose changes to…

Statistical Mechanics · Physics 2015-07-01 Todd R. Gingrich , Phillip L. Geissler

Monte Carlo simulations are commonly used to calculate photon reflectance, absorptance, and transmittance of multi-layer scattering and absorbing media, but they can quickly become prohibitively expensive as the number of layers increases.…

Optics · Physics 2025-09-30 Daniel Carne , Ziqi Guo , Xiulin Ruan

Sampling-based motion planning methods, while effective in high-dimensional spaces, often suffer from inefficiencies due to irregular sampling distributions, leading to suboptimal exploration of the configuration space. In this paper, we…

Robotics · Computer Science 2025-08-28 Makram Chahine , T. Konstantin Rusch , Zach J. Patterson , Daniela Rus

Sampling methods (e.g., node-wise, layer-wise, or subgraph) has become an indispensable strategy to speed up training large-scale Graph Neural Networks (GNNs). However, existing sampling methods are mostly based on the graph structural…

Machine Learning · Computer Science 2021-09-07 Weilin Cong , Rana Forsati , Mahmut Kandemir , Mehrdad Mahdavi

Monte Carlo rendering and modern generative models both transform uncertain states into structured images, yet they are usually studied as separate processes. We introduce Monte Carlo Transport Scheduling, a framework that treats…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Junwei Shu , Wenjie Liu , Hantang Liu , Changbo Wang , Yang Li

Deep neural networks have demonstrated superior performance in artificial intelligence applications, but the opaqueness of their inner working mechanism is one major drawback in their application. The prevailing unit-based interpretation is…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Lei Lyu , Chen Pang , Jihua Wang